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Finding the Fourth Proportional to 119,046.63, 164,287.06 and 65,335.08

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Solution

The fourth proportional to 119,046.63, 164,287.06 and 65,335.08 is: 90,163.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,046.63 : 164,287.06 = 65,335.08 : x
  2. Step 2: Convert to fraction form
    119,046.63/164,287.06 = 65,335.08/x
  3. Step 3: Cross multiply
    119,046.63x = 164,287.06 × 65,335.08
  4. Step 4: Simplify right side
    119,046.63x = 10,733,708,660.80
  5. Step 5: Solve for x
    x = 10,733,708,660.80/119,046.63
  6. Step 6: Final answer
    x = 90,163.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.